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3 years ago

Ratio And Proportion

1 answer:

7 0

1)
Data:

$\frac{boys}{girls} = \frac{2}{5}$
Total pupils = 140

Solving:

$140* \frac{2}{5} = \frac{280}{5} = 56boys$
$140 - 56 = 84girls$

2)

Data:

$\frac{boys}{girls} = \frac{5}{4}$
Total boys =120

$g* \frac{5}{4} = 120$
$\frac{5g}{4} = 120$
$5g = 120*4$
$5g = 480$
$g = \frac{480}{5}$
g = 96

Answer: 96 girls

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The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Pls explain and I wi

Bezzdna [24]

Answer:

Option 4

Step-by-step explanation:

Midpoint of the diameter is the center.

Use midpoint formula to determine the coordinates:

x = (2 - 4)/2 = -1
y = (5 + 13)/2 = 9

Find the radius using the midpoint and one of the endpoints and the distance formula:

r = $\sqrt{(-1 - 2)^2 + (9 - 5)^2} = \sqrt{9+16} = \sqrt{25} = 5$

Use the equation of the circle:

(x - (-1))² + (y - 9)² = 5²
(x + 1)² + (y - 9)² = 25

Correct choice is 4

4 0

3 years ago

-5(n + 3) = 6(n +4) + 5

laiz [17]

Answer:

n = -4

Step-by-step explanation:

−5(n+3)=6(n+4)+5

Step 1: Simplify both sides of the equation.

−5(n+3)=6(n+4)+5

(−5)(n)+(−5)(3)=(6)(n)+(6)(4)+5(Distribute)

−5n+−15=6n+24+5

−5n−15=(6n)+(24+5)(Combine Like Terms)

−5n−15=6n+29

Step 2: Subtract 6n from both sides.

−5n−15−6n=6n+29−6n

−11n−15=29

Step 3: Add 15 to both sides.

−11n−15+15=29+15

−11n=44

Step 4: Divide both sides by -11.

−11n

−11

n=−4

6 0

4 years ago

Read 2 more answers

a student invested $10,000 received an inheritance in three parts. with one person she brought mutual funds that offered and ret

natka813 [3]

Answer:

The amount invested at 4% per year was $3,000

The amount invested at 4.5% per year was $6,000

The amount invested at 2.5% per year was $1,000

Step-by-step explanation:

Let

x -----> the amount invested at 4% per year

2x ----> the amount invested at 4.5% per year

10,000-3x -----> the amount invested at 2.5% per year

we know that

The interest earned by the amount invested at 4% per year plus the interest earned by the amount invested at 4.5% per year plus the interest earned by the amount invested at 2.5% per year must be equal to $415

$4\%=4/100=0.04$